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Finding the Third Proportional to 523,746 and 1,116,180

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Solution

The third proportional to 523,746 and 1,116,180 is: 2,378,744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,746 : 1,116,180 = 1,116,180 : x
  2. Step 2: Convert to fraction form
    523,746/1,116,180 = 1,116,180/x
  3. Step 3: Cross multiply
    523,746x = 1,116,180 × 1,116,180
  4. Step 4: Simplify right side
    523,746x = 1,245,857,792,400
  5. Step 5: Solve for x
    x = 1,245,857,792,400/523,746
  6. Step 6: Final answer
    x = 2,378,744.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.